Question

Help!! which expression is equivalent to (5^3)^-2?

A.1/5^3

B. -1/5•5•5•5•5•5

C. 5^3

D. 1/5•5•5•5•5•5

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Answer 1

D

Explanation:

1. (5³)^-2
2. 1/(5³)²
3. 1/5^6
4. 1/5·5·5·5·5·5

Answer 2

1/ ( 5*5*5*5*5*5)

Explanation:

(5^3)^-2

We know that a^b^c = a^ ( b*c)

5^(3*-2)

5^ -6

We know that a^ -b = 1/ a^b

1/5 ^6

1/ ( 5*5*5*5*5*5)